One ticket is selected at random from 50 tickets numbered

• Probability

One ticket is selected at random from 50 tickets numbered 00, 01, 02, ... , 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals

1. 1/7
2. 1/14
3. 5/14
4. 1/50

Answer

A = Events that sum of the digits on selected ticket is 8

= {08, 17, 26, 35, 44}

⇒ n(A) = 5

B = Event that product of digits is zero

= {00, 01, 02, 03, 04, 05, 06, 07, 08, 09, 10, 20, 30, 40}

⇒ n(B) = 14

The correct option is C.